Acta mathematica scientia, Series B >
TIME DECAY RATE OF SOLUTIONS TO THE HYPERBOLIC MHD EQUATIONS IN R3
Received date: 2015-04-20
Revised date: 2016-01-08
Online published: 2016-10-25
Supported by
Supported by NSFC (11271290) and GSPT of Zhejiang Province (2014R424062).
In this paper, we first show the global existence, uniqueness and regularity of weak solutions for the hyperbolic magnetohydrodynamics (MHD) equations in R3. Then we establish that the solutions with initial data belonging to Hm(R3)∩L1(R3) have the following time decay rate:‖▽mu(x, t)‖2+‖▽mb(x, t)‖2+‖▽m+1u(x, t)‖2+‖▽m+1b(x, t)‖2≤c(1+t)-3/2-m for large t, where m=0, 1.
Key words： hyperbolic MHD equations; weak solution; time decay rate
Bei LI , Hongjin ZHU , Caidi ZHAO . TIME DECAY RATE OF SOLUTIONS TO THE HYPERBOLIC MHD EQUATIONS IN R3[J]. Acta mathematica scientia, Series B, 2016 , 36(5) : 1369 -1382 . DOI: 10.1016/S0252-9602(16)30075-3
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